1: A bicycle has a radius of r= 0.21 m and rotates at a constant frequency of f= 56 rev/min. a) Calculate the period of rotation of the wheel Tin seconds. b) What is the tangential speed of a point on the wheel's outer edge in m/s? Q2 A rotating plate form of R starts from rest and accelerates with uniform angular acceleration . a) What is the symbolic expression that gives the centripetal acceleration on the edge of the platform as a function of time. b) What is the symbolic expression for the time at which the magnitudes of the centripetal and tangential accelerations at the edge will be equal. C) Now let R = 3.9 cm and a = 26 rad/s. Calculate the time, t in seconds, for when the magnitudes of the centripetal and tangential accelerations are equal. Q3: an ultra centrifuge accelerates from rest to 96400 rpm in 1.75 min. Part (a) What is its angular acceleration in units of radians per second squared? Part (b) What is the tangential acceleration, in meters per second squared, of a point 9.9 cm from the axis of rotation? Part (c) What is the centripetal acceleration, in multiples of g, of this point at full speed? Problem 4: Suppose a piece of dust is stuck to a CD such that it does not slip even when the CD is spinning. Part (a) If the constant spin rate of the CD is 420 rpm, then what angular distance, in radians, is traveled by the piece of dust in 2.9 minutes? Part (b) If the dust is 4.1 cm away from the center, then what is the total distance, in meters, by which it traveled during the time interval of part (a)